On the sum of a prime and an integer with divisibility restrictions
Ethan S. Lee, Rowan O'Clarey
公開日: 2025/6/13
Abstract
In 2017, Dudek proved that every natural number greater than $2$ can be written as the sum of a prime and a square-free number. We prove stronger analogues of this result by imposing additional divisibility conditions on the square-free number, or by replacing it with a number that is not square-free.